{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 7.聚类算法的对比与评估\n",
    "<p>在应用聚类算法时,其挑战之一就是很难评估一个算法的好坏,也很难比较算法的结果</p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.用真实值评估聚类\n",
    "<P>使用调整rand参数(adjusted rand index)ARI</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics.cluster import adjusted_rand_score\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.cluster import KMeans,AgglomerativeClustering,DBSCAN\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import mglearn\n",
    "\n",
    "X,y = make_moons(n_samples=200,noise=0.05,random_state=0)\n",
    "\n",
    "# 将数据标准化\n",
    "scaler = StandardScaler()\n",
    "scaler.fit(X)\n",
    "X_scaled=scaler.transform(X)\n",
    "\n",
    "fig,axes=plt.subplots(1,4,figsize=(15,3),subplot_kw={'xticks':(),'yticks':()})\n",
    "\n",
    "# 列出要使用的算法\n",
    "algorithms = [KMeans(n_clusters=2),AgglomerativeClustering(n_clusters=2),DBSCAN()]\n",
    "#  创建一个随机的簇分配,作为参考\n",
    "random_state = np.random.RandomState(seed=0)\n",
    "random_clusters = random_state.randint(low=0,high=2,size=len(X))\n",
    "\n",
    "# 绘制随机分配\n",
    "axes[0].scatter(X_scaled[:,0],X_scaled[:,1],c=random_clusters,cmap=mglearn.cm3,s=60)\n",
    "axes[0].set_title(f\"random assignment -ARI{round(adjusted_rand_score(y,random_clusters),2)}\")\n",
    "\n",
    "for ax,algorithm in zip(axes[1:],algorithms):\n",
    "    # 绘制簇分配和簇中心\n",
    "    clusters = algorithm.fit_predict(X_scaled)\n",
    "    ax.scatter(X_scaled[:,0],X_scaled[:,1],c=clusters,cmap=mglearn.cm3,s=60)\n",
    "    ax.set_title(f\"{algorithm.__class__.__name__}-ARI {round(adjusted_rand_score(y,clusters),2)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "精度:0.0\n",
      "ARI:1.0\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "# 将这两种点标签对应于相同的聚类\n",
    "clusters1 = [0,0,1,1,0]\n",
    "clusters2 = [1,1,0,0,1]\n",
    "# 精度为0,因为二者标签完全不同\n",
    "print(f\"精度:{accuracy_score(clusters1,clusters2)}\")\n",
    "# 调整rand分数为1，应为二者聚类完全相同\n",
    "print(f\"ARI:{adjusted_rand_score(clusters1,clusters2)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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